Turns out my VVS guy has not sealed anything - not even the trykstabilisator (!!!). We could just watch ash being blown out through the gaps where the trykstabilisator was mounted (during compressor cleaning). FWIW, the problem was exacerbated by "old" ash from the chimney (which could not be removed when the pillefyr was installed but was getting lose/dissolved over time).
But still, the trykstabilisator?!? Apart from the ash problem, it's not even going to function properly when not sealed. I'm really amazed because I'm otherwise quite happy with the VVS guy.
For now, I've applied the non-handyman solution - aluminum tape. What is the "proper" way to seal a trykstabilisator?